Answer:

Step-by-step explanation:
So we have the equation:

First, separate the second term:

Let u equal 5ˣ. So:

Combine like terms:

Divide both sides by 6:

Substitute back u:

Take the base 5 logarithm of both sides:

The left cancels:

Evaluate the right:

So, our answer is 2.
And we're done!
Answer:
$715.50 my dudeeee
Step-by-step explanation:
..........
You would be able to cut 144 pieces of wire from the spool because 270/1 7/8 (or 1.875) equals 144
Answer:
8125t^2-11250t^2+5625 greater than or equal to > 100
Step-by-step explanation:
PLATO
Answer:

Step-by-step explanation:
Using the addition formulae for cosine
cos(x ± y) = cosxcosy ∓ sinxsiny
---------------------------------------------------------------
cos(120 + x) = cos120cosx - sin120sinx
= - cos60cosx - sin60sinx
= -
cosx -
sinx
squaring to obtain cos² (120 + x)
=
cos²x +
sinxcosx +
sin²x
--------------------------------------------------------------------
cos(120 - x) = cos120cosx + sin120sinx
= -cos60cosx + sin60sinx
= -
cosx +
sinx
squaring to obtain cos²(120 - x)
=
cos²x -
sinxcosx +
sin²x
--------------------------------------------------------------------------
Putting it all together
cos²x +
cos²x +
sinxcosx +
sin²x +
cos²x -
sinxcosx +
sin²x
= cos²x +
cos²x +
sin²x
=
cos²x +
sin²x
=
(cos²x + sin²x) = 